Finding the Fourth Proportional to 1,665.80, 2,496.56 and 1,408.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.80 : 2,496.56 = 1,408.83 : x
2. Step 2: Convert to fraction form
   1,665.80/2,496.56 = 1,408.83/x
3. Step 3: Cross multiply
   1,665.80x = 2,496.56 × 1,408.83
4. Step 4: Simplify right side
   1,665.80x = 3,517,221.58
5. Step 5: Solve for x
   x = 3,517,221.58/1,665.80
6. Step 6: Final answer
   x = 2,111.44